Deconvolution by the Multiscale Maximum Entropy Method
Jean‐Luc Starck, E. Pantin · 1996
. In 1994, to overcome the difficulties encountered by the Maximum Entropy Method (MEM) to restore images containing both high and low frequencies, Bontekoe et al. introduced the Pyramid Maximum Entropy Deconvolution. However, this method presents several drawbacks such as parameters estimation (model, alpha). Following these ideas, we propose the Multiscale Maximum Entropy Method which is based on the concept of multiscale entropy derived from the wavelet decomposition of a signal into different frequencies bands. It leads to a method which is flux conservative, and the use of a multiresolution support solves the problem of MEM to chose the ff parameter, i.e., relative weight between the goodness-of-fit and the entropy. 1. Introduction Bontekoe et al. (1994) have introduced the concept of Pyramid Maximum Entropy reconstruction which is a special application of multi-channel maximum entropy image reconstruction techniques (Gull & Skilling 1991). They consider an image f as a weighted...